地皮、塔和摩天大楼

Mark Powell, Arunima Ray
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引用次数: 0

摘要

地皮、塔和摩天大楼都是仔细定义的。这些都是第二部分其余部分研究和试图构建的对象。这三个都是有边界的4流形,由加厚的表面相互叠加而成。群由具有正属的加厚可定向曲面构造而成,每一阶段都依附于前一阶段同构的曲线的辛基。塔有一个额外类型的级,由管道加厚圆盘获得。摩天大楼是无限高塔的顶点紧化。包括对端点紧化的介绍。好的群体的概念也被定义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Gropes, Towers, and Skyscrapers
Gropes, towers, and skyscrapers are carefully defined. These are the objects that the rest of Part II studies and seeks to construct. All three are 4-manifolds with boundary, obtained from stacking thickened surfaces on top of one another. Gropes are constructed from thickened orientable surfaces with positive genus, each stage attached to a symplectic basis of curves for the homology of the previous stage. Towers have an additional type of stage obtained from plumbed thickened discs. A skyscraper is the endpoint compactification of an infinite tower. An introduction to endpoint compactifications is included. The notion of a good group is also defined.
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